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Estimation of the transition rates in the illness-death model for chronic diseases from aggregated current status data: a feasibility and simulation study. [PDF]

Front Epidemiol
Brinks R, Mohammadi Saem M, Voß S.
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Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]

Sci Rep
Aghazadeh A, Lakestani M.
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Continuous-time digital twin with analog memristive neural ordinary differential equation solver

Hegan Chen, Jichang Yang, Jia Chen, Songqi Wang, Shaocong Wang, Dingchen Wang, Xinyu Tian, Yifei Yu, Xi Chen, Yinan Lin, Qingsheng Zhu, Yangu He, Xiaoshan Wu, Yi Li, Xinyuan Zhang, Ning Lin, Meng Xu, Yi Li, Xumeng Zhang, Xiaojuan Qi, Zhongrui Wang, Han Wang, Dashan Shang, Qi Liu, Kwang‐Ting Cheng, Ming Liu   +25 more
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Ordinary Differential Equations

2012
In this chapter we provide an overview of the basic theory of ordinary differential equations (ODE). We give the basics of analytical methods for their solutions and also review numerical methods. The chapter should serve as a primer for the basic application of ODEs and systems of ODEs in practice.
K. F. Riley, M. P. Hobson
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Ordinary Differential Equations Texts.

The American Mathematical Monthly, 1998
(1998). Ordinary Differential Equations Texts. The American Mathematical Monthly: Vol. 105, No. 4, pp. 377-383.
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Explicit Ordinary Differential Equations

1998
In the last chapter we discussed the numerical treatment of explicit ordinary differential equations. Here, we will consider the more general case, implicit ordinary differential equations.
Edda Eich-Soellner, Claus Führer
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Ordinary Differential Equations

2019
The concept of first integrals of ODEs is introduced. Application is made to Newton’s second law of motion in one dimension.
V. Lakshmikantham, S.G. Deo
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Multivalued Differential Equations and Ordinary Differential Equations

SIAM Journal on Applied Mathematics, 1970
(E) e F(x, t), where F is upper semicontinuous, from known results in the theory of ordinary differential equations. This will be accomplished by showing that, for any F upper semicontinuous and convex, it is always possible to "approximate" the multivalued differential equation (E) by appropriately chosen ordinary differential equations. This would be
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Ordinary Differential Equations

1998
Let f be a C 1 vector field on an open set U in E . If f(x o ) = 0 for some x o ∈U, if a: J →U is an integral curve for f, and there exists some to ∈J such that α(t o ) = x o , show that α(t) = x o for all t∈J. (A point x o such that f(x 0 )= 0 is called a critical point of the vector field.)
A. N. Kolmogorov, A. P. Yushkevich
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Ordinary Differential Equations

2009
In this chapter we will introduce some notions and methods related to ordinary differential equations (ode). We study different representations of the solutions to odes, the singular points and the plane phases of planar odes, and an example of an ode with five equilibrium points.
Hiroyuki Shima, Tsuneyoshi Nakayama
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